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Finding the Fourth Proportional to 2,039, 2,814.06 and 1,211

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Solution

The fourth proportional to 2,039, 2,814.06 and 1,211 is: 1,671.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,039 : 2,814.06 = 1,211 : x
  2. Step 2: Convert to fraction form
    2,039/2,814.06 = 1,211/x
  3. Step 3: Cross multiply
    2,039x = 2,814.06 × 1,211
  4. Step 4: Simplify right side
    2,039x = 3,407,826.66
  5. Step 5: Solve for x
    x = 3,407,826.66/2,039
  6. Step 6: Final answer
    x = 1,671.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.